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Finding the Fourth Proportional to 7,310.40, 10,964.32 and 4,022.40

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Solution

The fourth proportional to 7,310.40, 10,964.32 and 4,022.40 is: 6,032.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,310.40 : 10,964.32 = 4,022.40 : x
  2. Step 2: Convert to fraction form
    7,310.40/10,964.32 = 4,022.40/x
  3. Step 3: Cross multiply
    7,310.40x = 10,964.32 × 4,022.40
  4. Step 4: Simplify right side
    7,310.40x = 44,102,880.77
  5. Step 5: Solve for x
    x = 44,102,880.77/7,310.40
  6. Step 6: Final answer
    x = 6,032.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.